Brief CV

Education

• 2025: HDR in Applied Mathematics and Scientific Computing, University of Bordeaux

• 2008-11: PhD in Numerical Analysis and Scientific Computing, University of Montpellier
• Advisors: P. Azerad, B. Mohammadi

• 2006-08: Master's Degree in Applied Mathematics at the University of Montpellier

Positions

• 2012-present: Associate Professor at Bordeaux University
  • 2026-: Part-time in secondment at INRIA Bordeaux, project-team MONC
  • 2018-19 & 2020-21: Part-time in secondment at INRIA Bordeaux, project-team MEMPHIS
  • 2015-16 : Part-time in secondment at CNRS
    
    
• 2011-12: Postdoc at Laboratoire Jean Kuntzmann, Université Joseph Fourier (Grenoble)

PhD supervision :

• Co-supervision with Angelo Iollo (IMB) of Alexis Tardieu's thesis, 2021-25.
  Title: ADER-DG Approaches for Nonlinear Advection-Diffusion: Application to Incompressible Navier-Stokes Equations
  


• Co-supervision with Patrick Babin (Laboratoire de Maladies Rares: Génétique et Métabolisme MRGM) of Guillaume Ravel's thesis, 2017-20
Title: Numerical Simulation and Modeling of Zebrafish Swimming for the Study of Human Diseases of Genetic and Toxicological Origin

Publications

• Nonlinear Advection-Diffusion Equation: Ader-Dg Penalty vs. Relaxation Schemes
  Bouharguane A., Iollo A., Tardieu A.,
  Computers & Fluids, Vol. 308, March 2026 [lien]

• Analysis and Discontinuous Galerkin approximation of the Boussinesq system with Navier-type boundary condition
  Bouharguane A., Seloula N.
  Under review (2026) [pdf]

• Modeling zebrafish electric field pulse-induced escape response reveals neuromuscular energetic constraints and efficient body movement adaptation to high-viscosity fluids
  Ravel G., Merce T., Bergmann M., Knoll-Gellida A., Bouharguane A., Al Kassir S., Iollo A., Babin P.
  iScience, Volume 28, Issue 3 (2025) [lien]
  

• A kinetic Discontinuous Galerkin Method for the nonconservative bitemperature Euler model
  Aregba-Driollet D., Bouharguane A., Brull S.
  Communications in Mathematical Sciences, Volume 23, Issue 3 (2025) [pdf]

• High order ADER-IPDG methods for the unsteady advection-diffusion equations
  Bergmann M., Bouharguane A., Iollo A., Tardieu A.
  Communications on Applied Mathematics and Computation, Volume 6 (2024) [lien]

• A Direct Discontinuous Galerkin method for a high order nonlocal conservation law
  Bouharguane A., Seloula N.
  Computers and Mathematics with Applications, 141(1) (2023) [lien]
  

• Quantitative assessment of hippocampal network dynamics by combining Voltage Sensitive Dye Imaging and Optimal Transportation Theory
  Colavita M., Bouharguane A., Valenti A., Terral G., Sherwood M. W., Lemercier C., Gibergues F., Doubeck M., Drago F., Marsicano G., Iollo A., Massa F.
  MathematicS In Action 12(1) (2023) [pdf]

• The local discontinuous Galerkin method for convection-diffusion-fractional anti-diffusion equations
  Bouharguane A., Seloula N.
  Applied Numerical Mathematics, Feb. 2022 [lien]

• Analysis and Approximation of a Vorticity-Velocity-Pressure Formulation for the Oseen Equations
  Anaya V., Bouharguane A., Mora D., Reales C, Ruiz-Baier R., Seloula N., Torres H.
  Journal of Scientific Computing 80(3) (2019) [lien]

• Finite Element Method for a Space-Fractional Anti-Diffusive Equation
  Bouharguane A.
  Journal of Computational and Applied Mathematics, Volume 328, 15 January 2018 [lien]

• A splitting method for deep water with bathymetry
  Bouharguane A., Melinand B.
  IMA, Journal of Numerical Analysis Volume 38, Issue 3, July 2018 [lien]

• Numerical solution of the Monge-Kantorovich problem by density lift-up continuation
  Bouharguane A., Iollo A., Weynans L.
  ESAIM: Mathematical Modelling and Numerical Analysis, vol 49, pp 1577-1592, 2015 [lien]

• Splitting methods for the nonlocal Fowler equation
  Bouharguane A., Carles R.
  Mathematics of Computations 83 (2014), no. 287, 1121-1141 [pdf]

• Minimization principles for the evolution of a soft sea bed interacting with a shallow sea
  Bouharguane A., Mohammadi B.
  International Journal of Computational Fluid Dynamics, 26 (3) (2012) [lien]

• Simultaneous denoising and enhancement of signals by a fractal conservation law
  Azerad P., Bouharguane A., Crouzet J.-F.
  Communications in Nonlinear Science and Numerical Simulation, Vol. 17, Issue 2 (2012) [lien]

• On the instability of a nonlocal conservation law
  Bouharguane A.
  Disc. Cont. Dyn. Syst., Ser. S, Vol. 5, (2012) [lien]

• Optimal dynamics of soft shapes in shallow water
  Mohammadi B., Bouharguane A.
  Computers and Fluids, 40/1, pp. 291-298 (2011) [lien]

• Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves
  Bouharguane A.
  Int. J. Differ. Equ. 2011 1 - 24, 2011 [lien]

• Low complexity shape optimization and a posteriori high fidelity validation
  Bouharguane A. , Azerad P., Bouchette F., Marche F., Mohammadi B,
  Disc. Cont. Dyn. Syst., Ser. B, 13, pp 759-772 (2010) [lien]

Research repports

• Multiphysics optimal transportation and image analysis
  Bouharguane A., Maitre E., Oudet E., Papadakis N.
  Research report (2012) [pdf]

• Finite difference approximations for a diffusion/anti-diffusion equation
  Bouharguane A., Azread P.
  Research report (2011) [pdf]

Teaching (in French)

Pages moodles de quelques enseignements effectués récemment:

• Master (S9): Simulations numériques par éléments finis avancés [lien]
  

• Master (S8): Approximation des EDP2 [lien]
  

• Master (S7): Approximation des EDP1 [lien]
  

• Licence (S6): Groupe de Travail Applicatif [lien]
  

• Licence (S3): Introduction à l'analyse numerique [lien]
  

• Licence (S2): Mathématiques pour l'Informatique [lien]
  

• Licence (S2): Mathématiques pour l'Ingénieur [lien]
  

• Licence (S1): Outils Mathématiques [lien]
  

Tutorat pour la licence en Mathématiques

• Si vous êtes en L3 ou en Master de mathématiques, vous pouvez candidater pour devenir tuteur/tutrice en envoyant votre CV et une lettre de motivation à l'adresse: afaf.bouharguane@math.u-bordeaux.fr
  
  
• Si vous êtes en Licence et que vous souhaitez bénéficier du tutorat, vous trouverez toutes les informations ici